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02-01ChapGere.0004 - If the load P 5 8 N at what distance x...

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Solution 2.2-5 Safety valve 66 CHAPTER 2 Axially Loaded Members h d h height of valve (compressed length of the spring) d diameter of discharge hole p pressure in tank p max pressure when valve opens L natural length of spring ( L > h ) k stiffness of spring F ORCE IN COMPRESSED SPRING F k ( L h ) (From Eq. 2-1a) P RESSURE FORCE ON SPRING E QUATE FORCES AND SOLVE FOR h : h L p max d 2 4k F P k ( L h ) p max d 2 4 P p max ¢ d 2 4 Problem 2.2-6 The device shown in the figure consists of a pointer ABC supported by a spring of stiffness k 800 N/m. The spring is positioned at distance b 150 mm from the pinned end A of the pointer. The device is adjusted so that when there is no load P , the pointer reads zero on the angular scale.
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Unformatted text preview: If the load P 5 8 N, at what distance x should the load be placed so that the pointer will read 3° on the scale? k A B P C x b Solution 2.2-6 Pointer supported by a spring F REE-BODY DIAGRAM OF POINTER Let a 5 angle of rotation of pointer S UBSTITUTE NUMERICAL VALUES : a 5 3 8 5 118 mm x 5 (800 N / m)(150 mm) 2 8 N tan 3 8 tan a 5 d b 5 Px kb 2 Ê x 5 kb 2 P tan a 2 Px 1 ( k d ) b 5 Ê or Ê d 5 Px kb © M A 5 Ê `~ F = k d A B P C x b P 5 8 N k 5 800 N/m b 5 150 mm d 5 displacement of spring F 5 force in spring 5 k d A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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